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| Title: | Optimal Timing of Statin Initiation for Patients with Type 2 Diabetes |
| Authors: | Mason, Jennifer Elizabeth |
| Advisors: | Salah E. Elmaghraby, Committee Member
Julie S. Ivy, Committee Member
Brian T. Denton, Committee Chair |
| Keywords: | statins
Markov decision process
inverse optimization
perspectives
diabetes |
| Issue Date: | 4-Aug-2009 |
| Degree: | MS |
| Discipline: | Operations Research |
| Abstract: | HMG Co-A reductase inhibitors (statins) are an important part of the treatment plan for patients with type 2 diabetes. However, the optimal time to initiate treatment is influenced by many factors. We investigate two such factors in this thesis: (1) the patient's long-term adherence to treatment and (2) the decision maker's criteria for optimal treatment initiation.
Many patients who are prescribed statins stop taking the drug altogether or take less than the prescribed amount within the first year. This imperfect adherence can lessen the drug's benefit. We propose a Markov decision process model to optimize the treatment decision for hypercholesterolemia for patients with type 2 diabetes while considering issues of adherence to statins. Our model incorporates a discrete time Markov process for adherence states of the patient. We found that in the long run approximately 25% of patients remain highly adherent, taking 80 to 100% of their medication. We also find that patients with imperfect adherence should start statins 5 to 7 years later than their perfectly adherent counterparts. Although adherence levels greatly affect the optimal start time for statins. We found that starting statins later in life did not significantly increase the expected quality adjusted life years for patients with imperfect adherence. We conclude that it is more important for patients to improve their adherence than to adjust the timing of initiation to help compensate for imperfect adherence.
We also consider three different decision making criteria with our model: society, patient, and third-party payer. Decision makers with these different perspectives have different objectives in mind. The patient is concerned with his or her quality of life, the third-party payer is concerned with minimizing costs, and society is concerned with maximizing rewards minus costs. These decision maker objectives are reflected in different reward functions in our MDP model. We find that it is optimal for patients to initiate statins early in the decision horizon under the patient perspective while the earliest optimal start times under the society and third-party payer perspectives are generally 4 and 15 years later, respectively.
Finally, we formulate an inverse optimization model to estimate the implied societal willingness to pay. We use our MDP model and U.S. guidelines for initiating statins to estimate the implied reward for a year of quality life. Our estimates indicate a societal willingness to pay of between $120,000 and $160,000 per quality
adjusted life year. |
| URI: | http://www.lib.ncsu.edu/resolver/1840.16/1728 |
| Appears in Collections: | Theses
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